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Finding the Fourth Proportional to 31,802.84, 43,882.80 and 18,375.87

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Solution

The fourth proportional to 31,802.84, 43,882.80 and 18,375.87 is: 25,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.84 : 43,882.80 = 18,375.87 : x
  2. Step 2: Convert to fraction form
    31,802.84/43,882.80 = 18,375.87/x
  3. Step 3: Cross multiply
    31,802.84x = 43,882.80 × 18,375.87
  4. Step 4: Simplify right side
    31,802.84x = 806,384,559.13
  5. Step 5: Solve for x
    x = 806,384,559.13/31,802.84
  6. Step 6: Final answer
    x = 25,355.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.